Standard

Problem on phase transitions with special constraints. / Mikhailov, V. S.

в: Journal of Mathematical Sciences , Том 107, № 3, 01.01.2001, стр. 3827-3840.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Mikhailov, VS 2001, 'Problem on phase transitions with special constraints', Journal of Mathematical Sciences , Том. 107, № 3, стр. 3827-3840. https://doi.org/10.1023/A:1012384010285

APA

Mikhailov, V. S. (2001). Problem on phase transitions with special constraints. Journal of Mathematical Sciences , 107(3), 3827-3840. https://doi.org/10.1023/A:1012384010285

Vancouver

Mikhailov VS. Problem on phase transitions with special constraints. Journal of Mathematical Sciences . 2001 Янв. 1;107(3):3827-3840. https://doi.org/10.1023/A:1012384010285

Author

Mikhailov, V. S. / Problem on phase transitions with special constraints. в: Journal of Mathematical Sciences . 2001 ; Том 107, № 3. стр. 3827-3840.

BibTeX

@article{59f08cedbaa74aafbe73c13473261d70,
title = "Problem on phase transitions with special constraints",
abstract = "The minimization problem for the energy functional of a two-phase medium is studied by two regularization methods. The first method uses the area of the boundary of the interface of the phases. The second one is based on the integral of the higher-order derivatives of the replacement field with nonhomogeneous boundary conditions and additional conditions on the replacement field. The existence theorem for an equilibrium state is proved in both cases. The equilibrium equation is deduced. Bibliography: 5 titles.",
author = "Mikhailov, {V. S.}",
year = "2001",
month = jan,
day = "1",
doi = "10.1023/A:1012384010285",
language = "English",
volume = "107",
pages = "3827--3840",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Problem on phase transitions with special constraints

AU - Mikhailov, V. S.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - The minimization problem for the energy functional of a two-phase medium is studied by two regularization methods. The first method uses the area of the boundary of the interface of the phases. The second one is based on the integral of the higher-order derivatives of the replacement field with nonhomogeneous boundary conditions and additional conditions on the replacement field. The existence theorem for an equilibrium state is proved in both cases. The equilibrium equation is deduced. Bibliography: 5 titles.

AB - The minimization problem for the energy functional of a two-phase medium is studied by two regularization methods. The first method uses the area of the boundary of the interface of the phases. The second one is based on the integral of the higher-order derivatives of the replacement field with nonhomogeneous boundary conditions and additional conditions on the replacement field. The existence theorem for an equilibrium state is proved in both cases. The equilibrium equation is deduced. Bibliography: 5 titles.

UR - http://www.scopus.com/inward/record.url?scp=52549095419&partnerID=8YFLogxK

U2 - 10.1023/A:1012384010285

DO - 10.1023/A:1012384010285

M3 - Article

AN - SCOPUS:52549095419

VL - 107

SP - 3827

EP - 3840

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 38721323